Import Question JSON

Current Question (ID: 20525)

Question:

$\text{In a coil of resistance } 8 \, \Omega, \text{ the magnetic flux due to an external magnetic field varies with time as } \phi = \frac{2}{3} (9 - t^2). \text{ The value of total heat produced in the coil, till the flux becomes zero, will be:}$ $1. \, 2 \, \text{J}$ $2. \, 1 \, \text{J}$ $3. \, 3 \, \text{J}$ $4. \, 4 \, \text{J}$

Options:

1. $2 \, \text{J}$
2. $1 \, \text{J}$
3. $3 \, \text{J}$
4. $4 \, \text{J}$

Solution:

$\text{Hint: } H = I^2Rt$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}